Intermediate

Local Sidereal Time Calculator — LST for Any Date & Location

Local Sidereal Time (LST) tells you which part of the sky is on your meridian right now. Astronomers use it to determine which objects are currently observable. Enter a date, Universal Time and your longitude to compute LST and Julian Date.

hours

UT hours (0 = midnight, 12 = noon). Use UT/UTC, not local time.

°

East positive; West negative (e.g. London ≈ 0°, New York ≈ −74°, Tokyo ≈ 140°)
Local Sidereal Time (LST)
17.9630h

17h 57m 46.9s

LST (hh mm ss)
17h 57m 46.9s
GMST
17h 57m 46.9s
Julian Date
2,460,847.5
Days from J2000.0
9,302.5
LST 17:57Local Sidereal Time shown on a 12-hour clock face
Step by step
  1. 1

    Julian Date

    2,460,847.5
    Continuous day count from noon UT on 1 Jan 4713 BC (standard Gregorian formula).
  2. 2

    Days from J2000.0

    2,460,847.5 − 2451545 = 9,302.5
  3. 3

    GMST (degrees)

    (280.460618 + 360.985647 × 9,302.5) mod 360 = 269.4452
  4. 4

    LST (degrees)

    (269.4452 + 0) mod 360 = 269.4452
  5. 5

    LST (hours)

    269.4452 ÷ 15 = 17.9630
Results are estimates for general information only and are not professional advice — always verify important results independently before relying on them. Read the full disclaimer.
Quick answer

How does this calculator work?

LST = (GMST + λ) / 15 hours, where GMST (°) = 280.460618 + 360.985647 × D, D = Julian Date − 2451545.0 (days from J2000.0), and λ is your east longitude in degrees. A sidereal day is 23 h 56 m 4 s, so LST advances about 4 minutes per solar day. Enter UT (not local time) and east-positive longitude.

Formula
GMST (°) = 280.46061837 + 360.98564736629 × D • LST = (GMST + λ) mod 360 • D = JD − 2451545.0
How this is calculated

Sidereal time tracks Earth's rotation relative to distant stars, not the Sun. A sidereal day is about 23 h 56 m 4 s — roughly 4 minutes shorter than a solar day — because Earth must rotate slightly more than one full turn to face the Sun again after orbiting it. That 4-minute daily gain means the star overhead at midnight tonight will be overhead at 11:56 pm one month from now.

The algorithm starts by computing the Julian Date (JD) from the Gregorian calendar date and Universal Time (UT). Days since the J2000.0 epoch (JD 2451545.0, 12:00 UT on 2000 January 1) are called D. Greenwich Mean Sidereal Time in degrees is then GMST = 280.46061837 + 360.98564736629 × D — the two-term approximation from Jean Meeus that is accurate to within a fraction of a second over decades. Local Sidereal Time is GMST plus the observer's east longitude, converted to the range 0°–360°, and divided by 15 to give hours.

This calculation uses the simplified two-term GMST series (accuracy < 0.1 s from 1950–2050) and ignores nutation and precession corrections needed for arcsecond astrometry. For telescope pointing or planetarium purposes the result is accurate enough; for professional astrometry, use a full SOFA implementation.

Frequently asked questions

An object's Right Ascension (RA) is fixed on the celestial sphere. It is on your meridian (highest in the sky, easiest to observe) when LST equals the object's RA. Knowing LST instantly tells you which objects are well-placed for observation right now.

Always enter Universal Time (UT/UTC), not local clock time. Convert by subtracting your UTC offset (e.g. for UTC+5:30 subtract 5.5 hours; for UTC−5 add 5 hours). The formula is defined in UT and gives wrong results with local time.

The Julian Date (JD) is a continuous count of days since noon UT on 1 January 4713 BC. It eliminates month/year ambiguity in time intervals, making arithmetic on dates trivial. J2000.0 corresponds to JD 2451545.0.

Also known as

local sidereal time calculator
lst calculator astronomy
greenwich mean sidereal time
gmst calculator
julian date calculator
sidereal time from longitude
right ascension meridian time

APA

TG we-Calculate Editorial Team. (2026). Local Sidereal Time Calculator — LST for Any Date & Location [Online calculator]. TG we-Calculate. https://we-calculate.com/calculator/sidereal-time-calculator

Chicago

TG we-Calculate Editorial Team. "Local Sidereal Time Calculator — LST for Any Date & Location." TG we-Calculate. 2026. https://we-calculate.com/calculator/sidereal-time-calculator.

IEEE

TG we-Calculate Editorial Team, "Local Sidereal Time Calculator — LST for Any Date & Location," TG we-Calculate, 2026. [Online]. Available: https://we-calculate.com/calculator/sidereal-time-calculator

BibTeX

@misc{wecalculate_sidereal_time_calculator, title = {Local Sidereal Time Calculator — LST for Any Date & Location}, author = {{TG we-Calculate Editorial Team}}, howpublished = {\url{https://we-calculate.com/calculator/sidereal-time-calculator}}, year = {2026}, note = {TG we-Calculate} }

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